%% Nomenclature

\renewcommand{\nomgroup}[1]{%
	\ifthenelse{\equal{#1}{R}}{\item[\textbf{Roman symbols}]}{}
	\ifthenelse{\equal{#1}{G}}{\item[\textbf{Greek symbols}]}{}
	\ifthenelse{\equal{#1}{S}}{\item[\textbf{Subscripts and superscripts}]}{}
	\ifthenelse{\equal{#1}{A}}{\item[\textbf{Abbreviations}]}{}
			}
%%EXAMPLE: \nomenclature[A]{$C$}{Constant \nomunit{m/s}}
%% Use nomunit to flush units in the nomenclature to the right
\newcommand{\nomunit}[1]{%
 \renewcommand{\nomentryend}{\hspace*{\fill}(#1)}}

%Roman symbols
\nomenclature[R]{$\mathcal{D}$}{Mass diffusivity \nomunit{$m^2/s$}}
\nomenclature[R]{$\mathcal{R}$}{Universal gas constant \nomunit{J/kmolK}}
\nomenclature[R]{$R_k$}{Reaction rate \nomunit{$kg/m^3 \cdot s$}}
\nomenclature[R]{$T$}{Temperature \nomunit{K}}
\nomenclature[R]{$X_k$}{Mole fraction of species $k$}
\nomenclature[R]{$Y_k$}{Mass fraction of species $k$}
\nomenclature[R]{$Q$}{Heat \nomunit{J}}
\nomenclature[R]{$W$}{Work \nomunit{J}}
\nomenclature[R]{$s$}{Entropy \nomunit{J/K}}
\nomenclature[R]{$h$}{Enthalpy \nomunit{J/kg}}
\nomenclature[R]{$h_f$}{Formation enthalpy \nomunit{J/kg}}
\nomenclature[R]{$e$}{Internal energy \nomunit{J/kg}}
\nomenclature[R]{$p$}{Pressure \nomunit{$Pa=N/m^2$}}
\nomenclature[R]{$p_k$}{Partial pressure of component $k$ \nomunit{$Pa=N/m^2$}}
\nomenclature[R]{$u$}{Velocity \nomunit{$m/s$}}
\nomenclature[R]{$k$}{Turbulent kinetic energy \nomunit{$m^2/s^2$}}
\nomenclature[R]{$c_p$}{Specific heat capacity \nomunit{J/kgK}}
\nomenclature[R]{$M_k$}{Molar mass of species k \nomunit{kg/kmol}}
\nomenclature[R]{$Z_i$}{Element mass fraction of element $i$}
\nomenclature[R]{$j_{k,j}$}{Diffusive mass flux of species $k$ in direction $x_j$-direction \nomunit{$kg/s \cdot m^2$}}
\nomenclature[R]{$l$}{Turbulent mixing length \nomunit{m}}
\nomenclature[R]{$L$}{Visible flame length \nomunit{m}}
\nomenclature[R]{$P$}{Probability}
\nomenclature[R]{$a$}{Exponent in the beta distribution}
\nomenclature[R]{$b$}{Exponent in the beta distribution}
\nomenclature[R]{$B(a,b)$}{Beta function}
\nomenclature[R]{$F$}{Energy source term due to body forces}
\nomenclature[R]{$S_{gen}$}{Entropy production \nomunit{$\frac{J}{K}$}}
\nomenclature[R]{$\dot{S}'''_{gen}$}{Volumetric mean entropy production rate \nomunit{$\frac{W}{m^3 K}$}}
\nomenclature[R]{$T_c$}{Critical temperature \nomunit{K}}
\nomenclature[R]{$p_c$}{Critical pressure \nomunit{Pa}}
\nomenclature[R]{$A$}{Exergy \nomunit{J}}
\nomenclature[R]{$a$}{Specific exergy \nomunit{J/kg}}
\nomenclature[R]{$I$}{Irreversibility, exergy destruction \nomunit{J}}
\nomenclature[R]{$m$}{mass \nomunit{kg}}
%Greek symbols
\nomenclature[G]{$\lambda$}{Thermal conductivity \nomunit{W/mK}}
\nomenclature[G]{$\xi$}{Mixture fraction}
\nomenclature[G]{$\chi$}{Scalar dissipation rate \nomunit{1/s}}
\nomenclature[G]{$\rho$}{Density \nomunit{$kg/m^3$}}
\nomenclature[G]{$\nu$}{Dynamic viscosity \nomunit{$m/s^2$}}
\nomenclature[G]{$\nu_T$}{Turbulent exchange coefficient \nomunit{$m/s^2$}}
\nomenclature[G]{$\mu$}{Kinematic viscosity \nomunit{kg/ms}}
\nomenclature[G]{$\mu_k$}{Specific chemical potential of species k \nomunit{J/kg}}
\nomenclature[G]{$\overline{\mu}_k$}{Molal chemical potential of species k \nomunit{J/mol}}
\nomenclature[G]{$\tau_{ij}$}{Viscous stress tensor}
\nomenclature[G]{$\phi$}{Equivalence ratio}
\nomenclature[G]{$\alpha$}{Thermal diffusivity \nomunit{$m^2/s$}}
\nomenclature[G]{$\delta$}{Turbulent shear layer thickness \nomunit{m}}
\nomenclature[G]{$\delta_{ij}$}{Kroenecker-delta; $\delta_{ij}=1$ when $i=j$ and $\delta_{ij}=0$ when $i \neq j$}
\nomenclature[G]{$\Gamma$}{Gamma function}
\nomenclature[G]{$\phi$}{Generalized property}
\nomenclature[G]{$\eta_{II}$}{Second law efficiency}
%Subscripts and superscripts
\nomenclature[S]{$st$}{Stoichiometric}
\nomenclature[S]{$ref$}{Property at reference state ($T_{ref}=298 K, p_{ref}=1atm$)}
\nomenclature[S]{$fu$}{Fuel}
\nomenclature[S]{$prod$}{Products}
\nomenclature[S]{$ox$}{Oxidizer}
\nomenclature[S]{$chem$}{From chemical reaction}
\nomenclature[S]{$mass$}{From mass transfer}
\nomenclature[S]{$Q$}{From heat transfer}
\nomenclature[S]{$visc$}{From viscous dissipation}
\nomenclature[S]{$1$}{Property of fuel stream}
\nomenclature[S]{$2$}{Property of oxidizer stream}
\nomenclature[S]{$'''$}{Volumetric property \nomunit{$m^{-3}$}}
\nomenclature[S]{$\cdot$}{Time rate \nomunit{$s^{-1}$}}
\nomenclature[S]{$i,j,l$}{Directional indices}
\nomenclature[S]{$k$}{Chemical species index for thermodynamic properties}
\nomenclature[S]{$T$}{Property for turbulent flow; as in $Le_T$ and $\nu_T$}
\nomenclature[S]{$r$}{Air-fuel ratio}
\nomenclature[S]{$-$}{Reynolds averaged mean}
\nomenclature[S]{$'$}{Reynolds averaged fluctuation}
\nomenclature[S]{$\tilde{ }$}{Favre averaged mean}
\nomenclature[S]{$''$}{Favre averaged fluctuation}
\nomenclature[S]{$e$}{Property of the environment}

%Abbreviations
\nomenclature[A]{$CFD$}{Computational Fluid Dynamics}
\nomenclature[A]{$PDF$}{Probability Density Function}
\nomenclature[A]{$EDC$}{Eddy Dissipation Concept}
\nomenclature[A]{$RANS$}{Reynolds averaged Navier-Stokes}
\nomenclature[A]{$LDV$}{Laser Doppler Velocimetry}
\nomenclature[A]{$LIF$}{Laser Induced Fluorescence}
\nomenclature[A]{$DNS$}{Direct Numerical Simulation}
\nomenclature[A]{$LHV$}{Lower Heating Value}
\nomenclature[A]{$PDE$}{Pulse Detonation Engine}
